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Novosadov [1.4K]

3 years ago

5

The triplets, Nick, Brian and Dan exit their classroom in a random order each day. Create a organized list to show the possibili

ties. Give the probability that Nick will exit first followed by Brian and then Dan, or P(NBD)

1 answer:

Sidana [21]3 years ago

8 0

The possibilities:
NBD
NDB
BND
BDN
DNB
DBN

The probability:
1/6
one-over-six

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From a point T on a horizontal ground, the angle of

grin007 [14]

Answer:

distance TS ≈ 19 m (nearest meter)

Step-by-step explanation:

The point T is on the horizontal ground and the angle of elevation of the top R of a tower is 63° and the height of the tower is 38 m high. The illustration forms a right angle triangle. The height RS of the tower is the opposite side of the triangle formed. The hypotenuse side of the triangle is the point from the ground T to the top of the tower R. The adjacent side of the triangle is the side TS.

using tangential ratio

tan 63° = opposite/adjacent

tan 63° = 38/adjacent

cross multiply

adjacent tan 63° = 38

divide both sides by tan 63°

adjacent side = 38/tan 63°

adjacent side = 38/1.96261050551

adjacent side = 19.3619670807

distance TS ≈ 19 m (nearest meter)

6 0

2 years ago

Evaluate 2+3y when y=8

zalisa [80]

Plug 8 into the equation for y and you get 2+24 or 26.

6 0

2 years ago

Read 2 more answers

(CO 3) A survey indicates that shoppers spend an average of 22 minutes with a standard deviation of 8 minutes in your store and

padilas [110]

Answer: 0.60

Step-by-step explanation:

Given: Mean : $\mu = 22\text{ minutes}$

Standard deviation : $\sigma = 8\text{ minutes}$

The formula to calculate z is given by :-

$z=\dfrac{x-\mu}{\sigma}$

For x= 20 minutes

$z=\dfrac{22-20}{8}=0.25$

The P Value = $P(z$

Hence, the probability that a randomly selected shopper will spend less than 20 minutes in the store= 0.60

5 0

3 years ago

Which term describes the set of all possible output values for a function?

allsm [11]

Answer:

Step-by-step explanation:

This would be called the range.

8 0

3 years ago

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Victor was having a hard time deciding which new vehicle he should buy. He decided to make the final decision based on the gas e

Amanda [17]

Answer:

Victor should buy Legend because it has a better unit rate

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Step-by-step explanation:

See attachment for complete question.

To determine which car has more gas efficiency, we have to calculate the slope of each car.

Vehicle 1: Legend

Take any two corresponding points from the table

$(x_1,y_1) = (4,72)$

$(x_2,y_2) = (12,216)$

The slope is then calculated using;

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{216 - 72}{12 - 4}$

$m = \frac{144}{8}$

$m = 18$

<em>This implies that this vehicle (legend) travels 18 miles per gallon of gas</em>

Vehicle 2: Supreme

Take any two corresponding points from the graph

$(x_1,y_1) = (0,0)$

$(x_2,y_2) = (15,250)$

The slope is then calculated using;

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{250 - 0}{15 - 0}$

$m = \frac{250}{15}$

$m = 16.7$

This implies that this vehicle (supreme) travels 16.7 miles per gallon of gas

<em>Base on the calculations above, Victor should buy Legend because it has a better unit rate</em>

6 0

2 years ago